How do you say, "a few times"?
For example:

I rode the roller coaster a few times.
I have watched that movie a few times.
After reading the book a few times, I finally understood the author's message.
I called him a few times but no one answered.

My attempt:
저는 롤러코스터 몃먼게 탔어요.
이 영화는 몆법게 봤어요.
책을 몆번게 읽어보니, 작가의 메세지를 알게돼었어요.
그가 몆번게 전화를 했지만 안받았어요.

Question

How do you say, "a few times"?
For example:

I rode the roller coaster a few times.
I have watched that movie a few times. 
After reading the book a few times, I finally understood the author's message.
I called him a few times but no one answered.

My attempt:
저는 롤러코스터 몃먼게 탔어요.
이 영화는 몆법게 봤어요.
책을 몆번게 읽어보니, 작가의 메세지를 알게돼었어요.
그가 몆번게 전화를 했지만 안받았어요.

Answer

a few times could be 여러번 or 몇 번 
I think both 여러번 and 몇번 is okay but if you want to emphasize the repeated action of something, I would use 여러번. 
몇번 is like 'just few times more than one time' 여러번 is more like 'a few times over and over again'. 
저는 그 롤러코스터를 몇번/여러번 탔어요.
이 영화는 몇번/여러번 봤어요. 
그 책을 여러번 읽고 나서야 결국 작가의 의도를 알게되었어요.
그에게 전화를 몇번/여러번 했지만 아무도 받지 않았어요.

Answer

"몆번게" is wrong and sound awkward. just use "몇번"....

저는 롤러코스터 몇번 탔어요. / 저 영화는 몇번 봤어요. / 책을 몇번 읽어보니, 작가의 메세지를 알게 "돼었어요" (->되었어요, 됐어요) / 그"가"(->에게) 몇번 전화를 했지만 안받았어요

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